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Ratio Atlas
Atlas › Integer Profiles › Node 457,776
457,776
24 × 32 × 11 × 172
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 11 × 17^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 1,484,652
Proper Divisor Sum 1,026,876
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #457757 ← → #457789

Radix Representation

Decimal 457776
Binary 1101111110000110000 (19 bits)
Octal 0o1576060
Hexadecimal 0x6FC30

Divisor Catalog (60 of 90)

1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 289 306 374 396 408 528 561 578 612 748 792 816 867 1,122 1,156 1,224 1,496 1,584 1,683 1,734 2,244 2,312 2,448 2,601

Collatz Trajectory (55 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

457,776 228,888 114,444 57,222 28,611 85,834 42,917 128,752 64,376 32,188 16,094 8,047 24,142 12,071 36,214 18,107 54,322 27,161 81,484 40,742 20,371 61,114 30,557 91,672 45,836 22,918 11,459 34,378 17,189 51,568 25,784 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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